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Finding the Fourth Proportional to 714,220.36, 985,769.94 and 412,373.32

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Solution

The fourth proportional to 714,220.36, 985,769.94 and 412,373.32 is: 569,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,220.36 : 985,769.94 = 412,373.32 : x
  2. Step 2: Convert to fraction form
    714,220.36/985,769.94 = 412,373.32/x
  3. Step 3: Cross multiply
    714,220.36x = 985,769.94 × 412,373.32
  4. Step 4: Simplify right side
    714,220.36x = 406,505,222,914.00
  5. Step 5: Solve for x
    x = 406,505,222,914.00/714,220.36
  6. Step 6: Final answer
    x = 569,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.